# Omega equation

From Glossary of Meteorology

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## omega equation

A diagnostic equation by which the vertical velocity in pressure coordinates (ω = for which

*Dp*/*Dt*) may be calculated according to quasigeostrophic theory:*f*is the Coriolis parameter, σ is the static stability,**v**_{g}is the geostrophic velocity vector, ζ_{g}is the geostrophic relative vorticity, φ is the geopotential, ∇_{H}^{2}is the horizontal Laplacian operator, and**∇**_{H}is the horizontal del operator.The right-hand side of the omega equation can also be expressed in terms of the divergence of the

**Q**vector.Holton, J. R. 1992. An Introduction to Dynamic Meteorology. 3d edition, Academic Press, . 166–175.